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Finding the Fourth Proportional to 940.47, 1,409.36 and 691.73

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Solution

The fourth proportional to 940.47, 1,409.36 and 691.73 is: 1,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.47 : 1,409.36 = 691.73 : x
  2. Step 2: Convert to fraction form
    940.47/1,409.36 = 691.73/x
  3. Step 3: Cross multiply
    940.47x = 1,409.36 × 691.73
  4. Step 4: Simplify right side
    940.47x = 974,886.09
  5. Step 5: Solve for x
    x = 974,886.09/940.47
  6. Step 6: Final answer
    x = 1,036.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.